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Simplifying 4(y + -1) + -7 = -2(6y + 1) + -2y Reorder the terms: 4(-1 + y) + -7 = -2(6y + 1) + -2y (-1 * 4 + y * 4) + -7 = -2(6y + 1) + -2y (-4 + 4y) + -7 = -2(6y + 1) + -2y Reorder the terms: -4 + -7 + 4y = -2(6y + 1) + -2y Combine like terms: -4 + -7 = -11 -11 + 4y = -2(6y + 1) + -2y Reorder the terms: -11 + 4y = -2(1 + 6y) + -2y -11 + 4y = (1 * -2 + 6y * -2) + -2y -11 + 4y = (-2 + -12y) + -2y Combine like terms: -12y + -2y = -14y -11 + 4y = -2 + -14y Solving -11 + 4y = -2 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -11 + 4y + 14y = -2 + -14y + 14y Combine like terms: 4y + 14y = 18y -11 + 18y = -2 + -14y + 14y Combine like terms: -14y + 14y = 0 -11 + 18y = -2 + 0 -11 + 18y = -2 Add '11' to each side of the equation. -11 + 11 + 18y = -2 + 11 Combine like terms: -11 + 11 = 0 0 + 18y = -2 + 11 18y = -2 + 11 Combine like terms: -2 + 11 = 9 18y = 9 Divide each side by '18'. y = 0.5 Simplifying y = 0.5
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