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Simplifying -5y + -48 = 4(3y + 5) Reorder the terms: -48 + -5y = 4(3y + 5) Reorder the terms: -48 + -5y = 4(5 + 3y) -48 + -5y = (5 * 4 + 3y * 4) -48 + -5y = (20 + 12y) Solving -48 + -5y = 20 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -48 + -5y + -12y = 20 + 12y + -12y Combine like terms: -5y + -12y = -17y -48 + -17y = 20 + 12y + -12y Combine like terms: 12y + -12y = 0 -48 + -17y = 20 + 0 -48 + -17y = 20 Add '48' to each side of the equation. -48 + 48 + -17y = 20 + 48 Combine like terms: -48 + 48 = 0 0 + -17y = 20 + 48 -17y = 20 + 48 Combine like terms: 20 + 48 = 68 -17y = 68 Divide each side by '-17'. y = -4 Simplifying y = -4
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