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Simplifying -46 + 14y + 9 = 4(4y + -3) + -7 Reorder the terms: -46 + 9 + 14y = 4(4y + -3) + -7 Combine like terms: -46 + 9 = -37 -37 + 14y = 4(4y + -3) + -7 Reorder the terms: -37 + 14y = 4(-3 + 4y) + -7 -37 + 14y = (-3 * 4 + 4y * 4) + -7 -37 + 14y = (-12 + 16y) + -7 Reorder the terms: -37 + 14y = -12 + -7 + 16y Combine like terms: -12 + -7 = -19 -37 + 14y = -19 + 16y Solving -37 + 14y = -19 + 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. -37 + 14y + -16y = -19 + 16y + -16y Combine like terms: 14y + -16y = -2y -37 + -2y = -19 + 16y + -16y Combine like terms: 16y + -16y = 0 -37 + -2y = -19 + 0 -37 + -2y = -19 Add '37' to each side of the equation. -37 + 37 + -2y = -19 + 37 Combine like terms: -37 + 37 = 0 0 + -2y = -19 + 37 -2y = -19 + 37 Combine like terms: -19 + 37 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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