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Simplifying 2(y + -4) + -8 = -3(-5y + 8) + -3y Reorder the terms: 2(-4 + y) + -8 = -3(-5y + 8) + -3y (-4 * 2 + y * 2) + -8 = -3(-5y + 8) + -3y (-8 + 2y) + -8 = -3(-5y + 8) + -3y Reorder the terms: -8 + -8 + 2y = -3(-5y + 8) + -3y Combine like terms: -8 + -8 = -16 -16 + 2y = -3(-5y + 8) + -3y Reorder the terms: -16 + 2y = -3(8 + -5y) + -3y -16 + 2y = (8 * -3 + -5y * -3) + -3y -16 + 2y = (-24 + 15y) + -3y Combine like terms: 15y + -3y = 12y -16 + 2y = -24 + 12y Solving -16 + 2y = -24 + 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. -16 + 2y + -12y = -24 + 12y + -12y Combine like terms: 2y + -12y = -10y -16 + -10y = -24 + 12y + -12y Combine like terms: 12y + -12y = 0 -16 + -10y = -24 + 0 -16 + -10y = -24 Add '16' to each side of the equation. -16 + 16 + -10y = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -10y = -24 + 16 -10y = -24 + 16 Combine like terms: -24 + 16 = -8 -10y = -8 Divide each side by '-10'. y = 0.8 Simplifying y = 0.8
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