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Simplifying -15(15 + y) + -12(12y + 1) + 10 = 16(3y + -16) + -17(y + 17) (15 * -15 + y * -15) + -12(12y + 1) + 10 = 16(3y + -16) + -17(y + 17) (-225 + -15y) + -12(12y + 1) + 10 = 16(3y + -16) + -17(y + 17) Reorder the terms: -225 + -15y + -12(1 + 12y) + 10 = 16(3y + -16) + -17(y + 17) -225 + -15y + (1 * -12 + 12y * -12) + 10 = 16(3y + -16) + -17(y + 17) -225 + -15y + (-12 + -144y) + 10 = 16(3y + -16) + -17(y + 17) Reorder the terms: -225 + -12 + 10 + -15y + -144y = 16(3y + -16) + -17(y + 17) Combine like terms: -225 + -12 = -237 -237 + 10 + -15y + -144y = 16(3y + -16) + -17(y + 17) Combine like terms: -237 + 10 = -227 -227 + -15y + -144y = 16(3y + -16) + -17(y + 17) Combine like terms: -15y + -144y = -159y -227 + -159y = 16(3y + -16) + -17(y + 17) Reorder the terms: -227 + -159y = 16(-16 + 3y) + -17(y + 17) -227 + -159y = (-16 * 16 + 3y * 16) + -17(y + 17) -227 + -159y = (-256 + 48y) + -17(y + 17) Reorder the terms: -227 + -159y = -256 + 48y + -17(17 + y) -227 + -159y = -256 + 48y + (17 * -17 + y * -17) -227 + -159y = -256 + 48y + (-289 + -17y) Reorder the terms: -227 + -159y = -256 + -289 + 48y + -17y Combine like terms: -256 + -289 = -545 -227 + -159y = -545 + 48y + -17y Combine like terms: 48y + -17y = 31y -227 + -159y = -545 + 31y Solving -227 + -159y = -545 + 31y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31y' to each side of the equation. -227 + -159y + -31y = -545 + 31y + -31y Combine like terms: -159y + -31y = -190y -227 + -190y = -545 + 31y + -31y Combine like terms: 31y + -31y = 0 -227 + -190y = -545 + 0 -227 + -190y = -545 Add '227' to each side of the equation. -227 + 227 + -190y = -545 + 227 Combine like terms: -227 + 227 = 0 0 + -190y = -545 + 227 -190y = -545 + 227 Combine like terms: -545 + 227 = -318 -190y = -318 Divide each side by '-190'. y = 1.673684211 Simplifying y = 1.673684211
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