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Simplifying -3(4y + -6) + -1y = 4(y + -5) Reorder the terms: -3(-6 + 4y) + -1y = 4(y + -5) (-6 * -3 + 4y * -3) + -1y = 4(y + -5) (18 + -12y) + -1y = 4(y + -5) Combine like terms: -12y + -1y = -13y 18 + -13y = 4(y + -5) Reorder the terms: 18 + -13y = 4(-5 + y) 18 + -13y = (-5 * 4 + y * 4) 18 + -13y = (-20 + 4y) Solving 18 + -13y = -20 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 18 + -13y + -4y = -20 + 4y + -4y Combine like terms: -13y + -4y = -17y 18 + -17y = -20 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + -17y = -20 + 0 18 + -17y = -20 Add '-18' to each side of the equation. 18 + -18 + -17y = -20 + -18 Combine like terms: 18 + -18 = 0 0 + -17y = -20 + -18 -17y = -20 + -18 Combine like terms: -20 + -18 = -38 -17y = -38 Divide each side by '-17'. y = 2.235294118 Simplifying y = 2.235294118
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