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Simplifying 4(y + -3) + 3 = 8(2y + 5) Reorder the terms: 4(-3 + y) + 3 = 8(2y + 5) (-3 * 4 + y * 4) + 3 = 8(2y + 5) (-12 + 4y) + 3 = 8(2y + 5) Reorder the terms: -12 + 3 + 4y = 8(2y + 5) Combine like terms: -12 + 3 = -9 -9 + 4y = 8(2y + 5) Reorder the terms: -9 + 4y = 8(5 + 2y) -9 + 4y = (5 * 8 + 2y * 8) -9 + 4y = (40 + 16y) Solving -9 + 4y = 40 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -9 + 4y + -16y = 40 + 16y + -16y Combine like terms: 4y + -16y = -12y -9 + -12y = 40 + 16y + -16y Combine like terms: 16y + -16y = 0 -9 + -12y = 40 + 0 -9 + -12y = 40 Add '9' to each side of the equation. -9 + 9 + -12y = 40 + 9 Combine like terms: -9 + 9 = 0 0 + -12y = 40 + 9 -12y = 40 + 9 Combine like terms: 40 + 9 = 49 -12y = 49 Divide each side by '-12'. y = -4.083333333 Simplifying y = -4.083333333
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